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Scattering of a plane harmonic SH wave by a completely embedded corrugated scatterer
Author(s) -
Yu ChihWei,
Dravinski Marijan
Publication year - 2008
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2487
Subject(s) - scattering , amplitude , displacement (psychology) , harmonic , plane (geometry) , optics , half space , boundary value problem , plane wave , field (mathematics) , electrical impedance , surface roughness , physics , surface finish , mathematical analysis , geometry , acoustics , materials science , mathematics , psychology , quantum mechanics , pure mathematics , composite material , psychotherapist
Abstract Anti‐plane‐strain model for steady‐state scattering of elastic waves by a rough inclusion or a cavity embedded in a half space is considered by using a direct boundary integral equation method. The roughness of the scatterer is assumed to be periodic with arbitrary amplitude and period. Detailed testing of the numerical results is presented. The motion along the half‐space surface is evaluated for different corrugations, frequencies and impedance contrast of the materials. The importance of the scatterer roughness upon the displacement field is clearly demonstrated. It was shown that larger corrugation amplitudes, shorter corrugation periods and higher frequencies may produce significant change in the displacement field when compared with the corresponding smooth scatterer result. This effect strongly depends upon the impedance contrast of the materials. Copyright © 2008 John Wiley & Sons, Ltd.